Search a number
-
+
194936436864 = 27331322918947
BaseRepresentation
bin1011010110001100011…
…1011111100010000000
3200122011110022000201000
42311203013133202000
511143212211434424
6225315204212000
720040464242161
oct2654307374200
9618143260630
10194936436864
117574359a284
123194399a000
13154c8266880
1496137d5768
15510db643c9
hex2d631df880

194936436864 has 256 divisors, whose sum is σ = 622328112000. Its totient is φ = 59715366912.

The previous prime is 194936436823. The next prime is 194936436869. The reversal of 194936436864 is 468634639491.

194936436864 is a `hidden beast` number, since 1 + 9 + 493 + 64 + 3 + 6 + 86 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (194936436869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10279039 + ... + 10297985.

Almost surely, 2194936436864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194936436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311164056000).

194936436864 is an abundant number, since it is smaller than the sum of its proper divisors (427391675136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

194936436864 is a wasteful number, since it uses less digits than its factorization.

194936436864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19212 (or 19194 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 194936436864 in words is "one hundred ninety-four billion, nine hundred thirty-six million, four hundred thirty-six thousand, eight hundred sixty-four".